We
live in a 3-Dimensional World yet our textbooks and much of our math curricula
still seemed fixed on 2-Dimensions.

Try
this!

Take
a look at the image below. "Do not rotate the image". Below you see
a graph showing the x-y axis. Only quadrant 1 (+x,+y) is shown.

1)
Click on the cube box. What figure appears? Where is the cube? Since we are viewing
the x,y axis the third dimension or +z-axis comes out of the plane of the screen
and is not visible. Now click on the the x-y-z box to show the z-axis.

3)
Click view 2 (in the view pulldown), the 3-Dimensional grid now appears showing
the cube. Try rotating the object within the screen to gain different perspectives
of show how the cube fits into a 3-D grid.

To
rotate object hold left mouse button down and slide cursor arrow over object

At
the end of this textbook are several tutorials which explore in greater depth
the use of Java Mage to explore 2-D and 3-D Geometry.